On modified Gordon-Wixom interpolation schemes and their applications to nonlinear and exterior domain problems

DOI10.1007/s11075-017-0335-8zbMath1492.65032OpenAlexW2617738270WikidataQ59606629 ScholiaQ59606629MaRDI QIDQ2413274

Alexander G. Belyaev, Pierre-Alain Fayolle

Publication date: 10 April 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0335-8

zbMATH Keywords

\(p\)-Laplaciantransfinite barycentric coordinatesGordon-Wixom interpolationmean-value coordinatespseudo-harmonic interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Cites Work

• A generalized mean value property for polyharmonic functions
• Transfinite mean value interpolation
• Discrete spherical means of directional derivatives and Veronese maps
• Barycentric coordinates for convex polytopes
• Mathematical perspectives on large eddy simulation models for turbulent flows
• A rational finite element basis
• Convergence of barycentric coordinates to barycentric kernels
• Convergence of Wachspress coordinates: from polygons to curved domains
• Mean value coordinates
• Transfinite mean value interpolation in general dimension
• Rational Bases and Generalized Barycentrics
• On a familiy of torsional creep problems.
• Pseudo-Harmonic Interpolation on Convex Domains
• Local barycentric coordinates
• Cubic mean value coordinates
• Generalized barycentric coordinates and applications